107133440 has 40 divisors (see below), whose sum is σ = 256875300. Its totient is φ = 42852352.

The previous prime is 107133431. The next prime is 107133449. The reversal of 107133440 is 44331701.

It is an interprime number because it is at equal distance from previous prime (107133431) and next prime (107133449).

It can be written as a sum of positive squares in 2 ways, for example, as 105842944 + 1290496 = 10288^2 + 1136^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×107133440² = 22955147932467200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107133449) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18365 + ... + 23484.

Almost surely, 2^107133440 is an apocalyptic number.

107133440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107133440 is an abundant number, since it is smaller than the sum of its proper divisors (149741860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107133440 is an frugal number, since it uses more digits than its factorization.

107133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41872 (or 41856 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 107133440 is about 10350.5284889227. The cubic root of 107133440 is about 474.9432102005.

The spelling of 107133440 in words is "one hundred seven million, one hundred thirty-three thousand, four hundred forty".